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Finding the Fourth Proportional to 704,666.43, 972,429.24 and 414,310.71

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Solution

The fourth proportional to 704,666.43, 972,429.24 and 414,310.71 is: 571,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,666.43 : 972,429.24 = 414,310.71 : x
  2. Step 2: Convert to fraction form
    704,666.43/972,429.24 = 414,310.71/x
  3. Step 3: Cross multiply
    704,666.43x = 972,429.24 × 414,310.71
  4. Step 4: Simplify right side
    704,666.43x = 402,887,848,849.16
  5. Step 5: Solve for x
    x = 402,887,848,849.16/704,666.43
  6. Step 6: Final answer
    x = 571,742.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.